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112433122131 = 3114218780761
BaseRepresentation
bin110100010110110001…
…0010100101101010011
3101202012122202101110120
41220231202110231103
53320230334402011
6123352344001323
711060124524661
oct1505542245523
9352178671416
10112433122131
1143756625850
1219959760243
13a7aa611945
1456283c5c31
152dd0a12a06
hex1a2d894b53

112433122131 has 16 divisors (see below), whose sum is σ = 163544988288. Its totient is φ = 68138827200.

The previous prime is 112433122103. The next prime is 112433122159. The reversal of 112433122131 is 131221334211.

It is an interprime number because it is at equal distance from previous prime (112433122103) and next prime (112433122159).

It is not a de Polignac number, because 112433122131 - 210 = 112433121107 is a prime.

It is a super-3 number, since 3×1124331221313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (112433122181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351791 + ... + 1432551.

It is an arithmetic number, because the mean of its divisors is an integer number (10221561768).

Almost surely, 2112433122131 is an apocalyptic number.

112433122131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112433122131 is a deficient number, since it is larger than the sum of its proper divisors (51111866157).

112433122131 is a wasteful number, since it uses less digits than its factorization.

112433122131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122962.

The product of its digits is 864, while the sum is 24.

Adding to 112433122131 its reverse (131221334211), we get a palindrome (243654456342).

The spelling of 112433122131 in words is "one hundred twelve billion, four hundred thirty-three million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 11 33 42187 80761 126561 242283 464057 888371 1392171 2665113 3407064307 10221192921 37477707377 112433122131